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Finding the Fourth Proportional to 150.05, 225.06 and 89.57

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Solution

The fourth proportional to 150.05, 225.06 and 89.57 is: 134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.05 : 225.06 = 89.57 : x
  2. Step 2: Convert to fraction form
    150.05/225.06 = 89.57/x
  3. Step 3: Cross multiply
    150.05x = 225.06 × 89.57
  4. Step 4: Simplify right side
    150.05x = 20,157.50
  5. Step 5: Solve for x
    x = 20,157.50/150.05
  6. Step 6: Final answer
    x = 134.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.